EBEN (version 4.1)

EBelasticNet.Binomial: The EB Elastic Net Algorithm for Binomial Model with Normal-Gamma(NG) Prior Distribution

Description

Generalized linear regression, normal-Gxponential (NG) hierarchical prior for regression coefficients

Usage

EBelasticNet.Binomial(BASIS, Target, lambda, alpha,Epis = "no",verbose = 0)

Arguments

BASIS

sample matrix; rows correspond to samples, columns correspond to features

Target

Class label of each individual, TAKES VALUES OF 0 OR 1

lambda

Hyperparameter controls degree of shrinkage; can be obtained via Cross Validation; lambda>0

alpha

Hyperparameter controls degree of shrinkage; can be obtained via Cross Validation; 0

Epis

"yes" or "no" for including two-way interactions

verbose

0 or 1; 1: display message; 0 no message

Value

• weight
  the none-zero regression coefficients: col1,col2 are the indices of the bases(main if equal); col3: coefficent value; col4: posterior variance; col5: t-value; col6: p-value
• logLikelihood
  log likelihood from the final regression coefficients
• WaldScore
  Wald Score
• Intercept
  Intercept
• lambda
  the hyperparameter; same as input lambda
• alpha
  the hyperparameter; same as input alpha

Details

If Epis="yes", the program adds two-way interaction of K*(K-1)/2 more columns to BASIS

References

Huang A, Xu S, Cai X: Empirical Bayesian LASSO-logistic regression for multiple binary trait locus mapping. BMC genetics 2013, 14(1):5.

Examples

library(EBEN)
data(BASISbinomial)
data(yBinomial)
#reduce sample size to speed up the running time
n = 50;
k = 100;
BASIS = BASISbinomial[1:n,1:k];
y  = yBinomial[1:n];
output = EBelasticNet.Binomial(BASIS, y,lambda = 1,alpha = 0.5, Epis = "no",verbose = 0)